Details

sample181.0ms

Algorithm

intervals

Results

44.0ms	52×	body	1280	valid
37.0ms	44×	body	10240	exit
19.0ms	42×	body	640	valid
12.0ms	38×	body	320	valid
11.0ms	107×	body	80	valid
6.0ms	88×	body	80	nan
5.0ms	2×	body	2560	valid
3.0ms	16×	body	160	valid
3.0ms	8×	body	640	nan
2.0ms	4×	body	1280	nan
0.0ms	2×	body	320	nan
0.0ms	2×	body	160	nan

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	35	12
3	53	12
4	84	12
5	224	12
6	925	12
7	4874	12
done	5000	12

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (log (fma (exp z) y (- 1.0 y))) t)
2.4b	(log (fma (exp z) y (- 1.0 y)))
3.7b	(fma (exp z) y (- 1.0 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow1`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`associate-/l*`
3×	`expm1-log1p-u` `log-prod` `associate-/r*` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `fma-udef` `div-inv`

Counts

3 → 57

Calls

3 calls:

16.0ms	(/ (log (fma (exp z) y (- 1.0 y))) t)
3.0ms	(log (fma (exp z) y (- 1.0 y)))
1.0ms	(fma (exp z) y (- 1.0 y))

series380.0ms

Counts

3 → 9

Calls

3 calls:

195.0ms	(/ (log (fma (exp z) y (- 1.0 y))) t)
87.0ms	(log (fma (exp z) y (- 1.0 y)))
99.0ms	(fma (exp z) y (- 1.0 y))

simplify901.0ms

Counts

66 → 66

Iterations

Useful iterations: done (898.0ms)

Iter	Nodes	Cost
0	145	1009
1	314	973
2	1140	883
done	5000	878

prune396.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t))
0.0b	(fma 0.5 (pow z 2) (* 1.0 z))
2.2b	(fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0))
4.1b	(/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
47×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`fma-neg` `associate-/r` `associate-/l`
2×	`fma-udef` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

4 → 108

Calls

4 calls:

14.0ms	(- x (/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t))
0.0ms	(fma 0.5 (pow z 2) (* 1.0 z))
0.0ms	(fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0))
6.0ms	(/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t)

series489.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(- x (/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t))
80.0ms	(fma 0.5 (pow z 2) (* 1.0 z))
105.0ms	(fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0))
133.0ms	(/ (fma y (fma 0.5 (pow z 2) (* 1.0 z)) (log 1.0)) t)

simplify2.2s

Counts

120 → 120

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	212	5628
1	496	5058
2	1967	3628
done	5001	2690

prune459.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (fma 1.0 (/ (* z y) t) (/ (log 1.0) t)))
3.2b	(/ (* z y) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
7×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`times-frac` `fma-neg` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 52

Calls

2 calls:

11.0ms	(- x (fma 1.0 (/ (* z y) t) (/ (log 1.0) t)))
16.0ms	(/ (* z y) t)

series149.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(- x (fma 1.0 (/ (* z y) t) (/ (log 1.0) t)))
38.0ms	(/ (* z y) t)

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	112	1373
1	263	1003
2	1330	806
done	5002	673

prune255.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (fma 1.0 (/ z (/ t y)) (/ (log 1.0) t)))
5.0b	(/ z (/ t y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity`
51×	`add-cube-cbrt`
13×	`associate-/r*`
9×	`prod-diff`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-neg` `div-exp` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `flip--` `fma-udef` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 101

Calls

2 calls:

12.0ms	(- x (fma 1.0 (/ z (/ t y)) (/ (log 1.0) t)))
15.0ms	(/ z (/ t y))

series207.0ms

Counts

2 → 6

Calls

2 calls:

173.0ms	(- x (fma 1.0 (/ z (/ t y)) (/ (log 1.0) t)))
34.0ms	(/ z (/ t y))

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	216	2067
1	513	1650
2	2231	1428
done	5000	1295

prune348.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 3.4b

regimes490.0ms

Accuracy

64.2% (4.6b remaining)

Error of 8.2b against oracle of 3.6b and baseline of 16.5b

bsearch120.0ms

Steps

Iters	Range		Point
9	-1.8614439338488036	-8.551954805789552e-08	-6.105344974142014e-05

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	36
1	30	36
done	30	36

end0.0ms

sample6.4s

Algorithm

intervals

Results

1.6s	1374×	body	1280	valid
1.3s	1556×	body	10240	exit
844.0ms	1601×	body	640	valid
761.0ms	2546×	body	80	nan
384.0ms	3530×	body	80	valid
299.0ms	963×	body	320	valid
127.0ms	291×	body	640	nan
106.0ms	65×	body	2560	valid
87.0ms	499×	body	160	valid
85.0ms	97×	body	1280	nan
36.0ms	176×	body	320	nan
15.0ms	115×	body	160	nan